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JOURNALS // Matematicheskie Zametki // Archive
Mat. Zametki, 2013 Volume 94, Issue 3, Pages 416–425 (Mi mzm9377)
This article is cited in 2 papers

Addition to the Popoviciu Theorem

V. O. Tonkov

M. V. Lomonosov Moscow State University

Abstract: An asymptotic estimate of approximations of a function by Bernstein polynomials taking into account the position of the point on the closed interval is obtained.

Keywords: bounded function, Popoviciu theorem, Bernstein polynomial, continuous function, modulus of continuity.

UDC: 517.518.82

Received: 15.04.2012
Revised: 25.09.2012

DOI: 10.4213/mzm9377


 English version: Mathematical Notes, 2013, 94:3, 392–399

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© Steklov Math. Inst. of RAS, 2024